Based on the monthly ERA5 reanalysis datasets, the study considers the mean flows and eddies in the stationary or transient transport by using the Lorenz circulation decomposition method. The purpose is to compare the dynamical transport characteristics of ozone over the Arctic and the Tibetan Plateau in detail. The results indicate that the effect of the dynamical transport is the strongest in the upper stratosphere of these two regions, which results in the reduction of ozone. Further analyses suggest that the effect of the stationary transport is stronger than that of the transient transport, and the zonal and meridional transports almost have the opposite effect. However, the intensity of dynamical transport over the Arctic is much greater than those over the Tibetan Plateau. The zonal transport over the Arctic results in the reduction of ozone in the upper and middle stratosphere and the increase of ozone in the lower stratosphere, while the effect of the meridional transport is opposite and much weaker. Both of them mainly function in the upper stratosphere. Over the Tibetan Plateau, the intensity of the zonal transport is the same as the intensity of the meridional transport. They almost have the opposite effect except for the top of the stratosphere, where both of them lead to the reduction of ozone. There are two centers with the strongest transport over the Tibetan Plateau, located in the upper stratosphere and the upper troposphere - lower stratosphere (UTLS) respectively. The differences of zonal and meridional transports over these two regions are mainly caused by the stationary transport by eddies. The differences between stationary and transient transports over the Tibetan Plateau are smaller than those over the Arctic. Furthermore, the transport of zonal mean ozone by eddies plays a dominant role in the stationary and transient transport. Consequently, the eddy transport exerts an indispensable influence on the dynamical transport of ozone over the Arctic and the Tibetan Plateau.